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The regularity of minimal surfaces in higher codimension. Current developments in mathematics 2014. :153-229.
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Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation. Transactions of the American Mathematical Society. 370:1783–1801.
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Regularity theory for 2-dimensional almost minimal currents II: branched center manifold. Annals of PDE. 3:1–85.
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Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185.
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The regularity theory for the area functional (in geometric measure theory). International Congress of Mathematicians.
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A regularizing property of the 2d-eikonal equation. Communications in Partial Differential Equations. 40:1543–1557.
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SBV Regularity for Hamilton-Jacobi Equations in R^n. Archiv for Rational Mechanics and Analysis. 200:1003–1021.
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Sharp upper bounds for a variational problem with singular perturbation.. Mathematische Annalen. 338:119–146.
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Simple proof of two-well rigidity.. Comptes Rendus Mathematique. 343:367–370.
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Singular limit laminations, Morse index, and positive scalar curvature.. Topology. 44:25–45.
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2005. 
The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83.
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2016. 
Smoothing does not give a selection principle for transport equations with bounded autonomous fields. To appear in Annales Math'ematiques du Que'bec.
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Some fine properties of currents and applications to distributional Jacobians.. Proceedings of the Royal Society of Edinburgh: Section A. 132:815–842.
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Some remarks on the distributional Jacobian.. Nonlinear Analysis: Theory, Methods & Applications. 53:1101–1114.
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Some remarks on the theory of elasticity for compressible Neohookean materials.. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V. 2:521–549.
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Structure of entropy solutions for multi-dimensional scalar conservation laws.. Archiv for Rational Mechanics and Analysis. 170:137–184.
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Structure of entropy solutions to the eikonal equation.. Journal of the European Mathematical Society. 5:107–145.
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Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications.. Communications on Pure and Applied Mathematics. 61:1540–1602.
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Transport equation with integral terms. Calc. Var. Partial Differential Equations. 55(5):Art.128pp.17.
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On turbulence and geometry: from Nash to Onsager. Notices Amer. Math. Soc.. 66(5)
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Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents.
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Uniqueness of tangent cones for 2-dimensional almost minimizing currents. Communications on Pure and Applied Mathematics. 70:1402–1421.
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